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arXiv · 2511.07839

Matrix weighted estimates on spaces of homogeneous type

Guido Claro·Pamela Muller·Luis Nowak·Alejandra Perini·Israel P. Rivera-Ríos
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Abstract

In this paper matrix quantitative weighted estimates on spaces of homogeneous type, such as endpoint estimates, strong type estimates are provided. To that end we extend some earlier results on convex body domination due to Nazarov, Petermichl, Treil and Volberg to this setting. We also provide a $T(1)$ alike convex body domination result analogous to the one provided by Lerner and Ombrosi, and an application to vector valued extensions of Petermichl operators.

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Guido Claro, Pamela Muller, Luis Nowak, Alejandra Perini, Israel P. Rivera-Ríos. 2025-11-11. Matrix weighted estimates on spaces of homogeneous type. https://arxiv.org/abs/2511.07839

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